Math

posted by .

The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle.

(a) Find the center of the circle.


(b) Find the length of the radius of the circle. (Note that this is a distance.) Give the exact answer. Show work.


(c) State the equation of the circle (in standard form). Note that you know the center and the radius from the previous parts.

  • Math -

    average x = (4-4)/2 = 0
    average y = (-5 +1)/2 = -2
    so center at (0,-2)

    half the distance between the two given points
    d = diameter = sqrt(8^2 + 6^2) =sqrt(64+36) = sqrt(100 = 10
    so radius = 5

    (x-k)^2 + (y-h)^2 = r^2
    here for center at (0,-2) k=0 and h = -2
    x^2 + (y+2)^2 = 25

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the number of noncollinear points needed to determine a circle Two. The location of the center, and one point on the circle (ie, the length of radius), you have determined the circle. However, the circle thus determined can be an an …
  2. Math

    The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. Find the center of the circle.
  3. geometry

    This one is confusing me. please help The diameter of a circle has endpoints P(–10, –2) and Q(4, 6).Find the center of the circle.Find the radius. If your answer is not an integer, express it in radical form. Write an equation …
  4. Calculus

    Points (–1, 6) and (–3, 2) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter?
  5. GEOMETRY

    The diameter of a circle has endpoints P(–10, –2) and Q(4, 6). a.Find the center of the circle. b.Find the radius. If your answer is not an integer, express it in radical form. c.Write an equation for the circle.
  6. Math rem

    2.Find the length of the arc in a circle if the radius of the circle is 24cm and the degree of the arc is 90o 3.Find the length of the arc if a circle if the degree if the arc is 120o and the length of the radius is 8cm. 4. A circle …
  7. Geometry midpoint formula

    A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle?
  8. Maths

    1. In the xy-coordinate plane, point A is the midpoint of the segment with endpoints (2,4) and (-4,-4). What is the distance from point A to the origin?
  9. geomtry

    A diameter of a circle has endpoints P(-10,2) and Q(4,6) a. find the center of the circle. b. find the radius of your answer is not an interger express in radical form c. write an equation for the circle
  10. Math

    A circle with center O has a diameter of 14 feet. Points M and N are placed on the circle so that M<mon . Find the length of the intercepted MN. Use 3.14 for , and round your answer to the nearest tenth. A. 16.5 ft B. 18.2 ft C. …

More Similar Questions